Theorem. (t3_petri_2)
∀k2_partfun1 : set → set → set → set → set, ∀esk11_5 : set → set → set → set → set → set, ∀a_4_2_petri_2 : set → set → set → set → set, ∀r2_hidden : set → set → prop, ∀v1_zfmisc_1 : set → prop, ∀esk10_5 : set → set → set → set → set → set, ∀a_4_0_petri_2 : set → set → set → set → set, ∀k9_funct_2 : set → set → set, ∀k5_relat_1 : set → set → set, ∀v1_partfun1 : set → set → prop, ∀v1_finset_1 : set → prop, ∀v4_relat_1 : set → set → prop, ∀esk46_2 : set → set → set, ∀m1_funct_2 : set → set → set → prop, ∀v1_subset_1 : set → set → prop, ∀k1_funct_2 : set → set → set, ∀esk37_1 : set → set, ∀esk22_1 : set → set, ∀esk41_1 : set → set, ∀v3_funct_1 : set → prop, ∀v2_relat_1 : set → prop, ∀esk44_0 : set, ∀esk42_0 : set, ∀esk28_0 : set, ∀esk21_0 : set, ∀esk13_0 : set, ∀esk18_2 : set → set → set, ∀esk15_2 : set → set → set, ∀esk35_2 : set → set → set, ∀esk25_1 : set → set, ∀esk9_1 : set → set, ∀esk29_0 : set, ∀esk23_0 : set, ∀esk20_0 : set, ∀esk14_0 : set, ∀esk24_0 : set, ∀esk45_1 : set → set, ∀esk31_2 : set → set → set, ∀esk39_2 : set → set → set, ∀esk8_2 : set → set → set, ∀esk16_2 : set → set → set, ∀esk2_0 : set, ∀esk27_0 : set, ∀esk17_0 : set, ∀esk26_0 : set, ∀esk33_0 : set, ∀esk43_0 : set, ∀esk36_0 : set, ∀esk32_1 : set → set, ∀k1_xboole_0 : set, ∀v2_finset_1 : set → prop, ∀esk7_1 : set → set, ∀v2_funct_1 : set → prop, ∀esk40_1 : set → set, ∀esk19_1 : set → set, ∀esk34_1 : set → set, ∀v5_finset_1 : set → prop, ∀v3_relat_1 : set → prop, ∀esk38_2 : set → set → set, ∀v4_funct_1 : set → prop, ∀esk30_2 : set → set → set, ∀v1_relat_1 : set → prop, ∀v5_relat_1 : set → set → prop, ∀r1_tarski : set → set → prop, ∀k1_petri_2 : set → set → set → set → set, ∀a_4_3_petri_2 : set → set → set → set → set, ∀esk12_5 : set → set → set → set → set → set, ∀esk6_0 : set, ∀esk4_0 : set, ∀esk1_0 : set, ∀esk5_0 : set, ∀esk3_0 : set, ∀v1_funct_1 : set → prop, ∀v1_funct_2 : set → set → set → prop, ∀m1_subset_1 : set → set → prop, ∀k1_zfmisc_1 : set → set, ∀k2_zfmisc_1 : set → set → set, ∀r1_funct_2 : set → set → set → set → set → set → prop, ∀v1_xboole_0 : set → prop, (∀X1 X3 X4 X6 X5 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (r1_funct_2 X4 X1 X6 X2 X5 X3 → False) → v1_funct_1 X5 → v1_funct_1 X3 → v1_funct_2 X5 X6 X2 → v1_funct_2 X3 X4 X1 → r1_funct_2 X4 X1 X6 X2 X3 X5 → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X6 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X4 X1)) → False) → (∀X4 X3 X1 X2 X5 X6, (X5 = X6 → False) → (v1_xboole_0 X4 → False) → (v1_xboole_0 X2 → False) → v1_funct_1 X6 → v1_funct_1 X5 → v1_funct_2 X6 X3 X4 → v1_funct_2 X5 X1 X2 → r1_funct_2 X1 X2 X3 X4 X5 X6 → m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 X3 X4)) → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → (esk5_0 = esk3_0 → r1_funct_2 esk3_0 esk1_0 esk5_0 esk1_0 esk4_0 esk6_0 → False) → (∀X4 X5 X3 X1 X2 X6, (v1_xboole_0 X6 → False) → (v1_xboole_0 X4 → False) → (r1_funct_2 X3 X4 X5 X6 X1 X2 → False) → X1 = X2 → v1_funct_1 X2 → v1_funct_1 X1 → v1_funct_2 X2 X5 X6 → v1_funct_2 X1 X3 X4 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X5 X6)) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X4)) → False) → (∀X1 X5 X3 X6 X4 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (r1_funct_2 X4 X1 X6 X2 X3 X3 → False) → v1_funct_1 X5 → v1_funct_1 X3 → v1_funct_2 X5 X6 X2 → v1_funct_2 X3 X4 X1 → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X6 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X4 X1)) → False) → (∀X5 X1 X3 X4 X2, ((k2_partfun1 X1 X2 (esk11_5 X3 X2 X1 X4 X5) X4) = X5 → False) → (v1_zfmisc_1 X2 → False) → v1_funct_1 X5 → v1_funct_2 X5 X4 X2 → m1_subset_1 X4 (k1_zfmisc_1 X1) → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X4 X2)) → r2_hidden X3 (a_4_2_petri_2 X2 X1 X4 X5) → False) → (∀X5 X3 X1 X4 X2, ((k2_partfun1 X1 X2 (esk12_5 X3 X2 X1 X4 X5) X4) = X5 → False) → (v1_zfmisc_1 X2 → False) → v1_funct_1 X5 → v1_funct_2 X5 X4 X2 → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X4 X2)) → r2_hidden X3 (a_4_3_petri_2 X2 X1 X4 X5) → False) → (∀X5 X3 X1 X4 X2, ((k2_partfun1 X1 X2 (esk10_5 X3 X2 X1 X4 X5) X4) = X5 → False) → (v1_xboole_0 X2 → False) → v1_funct_1 X5 → v1_funct_2 X5 X4 X2 → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X4 X2)) → r2_hidden X3 (a_4_0_petri_2 X2 X1 X4 X5) → False) → (∀X5 X3 X1 X4 X2, (v1_zfmisc_1 X2 → False) → (m1_subset_1 (esk11_5 X1 X2 X3 X4 X5) (k1_zfmisc_1 (k2_zfmisc_1 X3 X2)) → False) → v1_funct_1 X5 → v1_funct_2 X5 X4 X2 → m1_subset_1 X4 (k1_zfmisc_1 X3) → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X4 X2)) → r2_hidden X1 (a_4_2_petri_2 X2 X3 X4 X5) → False) → (∀X5 X3 X1 X4 X2, (v1_zfmisc_1 X2 → False) → (v1_funct_2 (esk11_5 X1 X2 X3 X4 X5) X3 X2 → False) → v1_funct_1 X5 → v1_funct_2 X5 X4 X2 → m1_subset_1 X4 (k1_zfmisc_1 X3) → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X4 X2)) → r2_hidden X1 (a_4_2_petri_2 X2 X3 X4 X5) → False) → (∀X5 X1 X3 X4 X2, (v1_xboole_0 X2 → False) → (m1_subset_1 (esk10_5 X1 X2 X3 X4 X5) (k1_zfmisc_1 (k2_zfmisc_1 X3 X2)) → False) → v1_funct_1 X5 → v1_funct_2 X5 X4 X2 → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X4 X2)) → r2_hidden X1 (a_4_0_petri_2 X2 X3 X4 X5) → False) → (∀X5 X1 X3 X4 X2, (v1_zfmisc_1 X2 → False) → (m1_subset_1 (esk12_5 X1 X2 X3 X4 X5) (k1_zfmisc_1 (k2_zfmisc_1 X3 X2)) → False) → v1_funct_1 X5 → v1_funct_2 X5 X4 X2 → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X4 X2)) → r2_hidden X1 (a_4_3_petri_2 X2 X3 X4 X5) → False) → (∀X5 X1 X3 X4 X2, (v1_xboole_0 X2 → False) → (v1_funct_2 (esk10_5 X1 X2 X3 X4 X5) X3 X2 → False) → v1_funct_1 X5 → v1_funct_2 X5 X4 X2 → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X4 X2)) → r2_hidden X1 (a_4_0_petri_2 X2 X3 X4 X5) → False) → (∀X5 X1 X3 X4 X2, (v1_zfmisc_1 X2 → False) → (v1_funct_2 (esk12_5 X1 X2 X3 X4 X5) X3 X2 → False) → v1_funct_1 X5 → v1_funct_2 X5 X4 X2 → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X4 X2)) → r2_hidden X1 (a_4_3_petri_2 X2 X3 X4 X5) → False) → (∀X5 X3 X1 X4 X2, (v1_zfmisc_1 X2 → False) → (v1_funct_1 (esk11_5 X1 X2 X3 X4 X5) → False) → v1_funct_1 X5 → v1_funct_2 X5 X4 X2 → m1_subset_1 X4 (k1_zfmisc_1 X3) → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X4 X2)) → r2_hidden X1 (a_4_2_petri_2 X2 X3 X4 X5) → False) → (∀X5 X1 X3 X4 X2, (v1_xboole_0 X2 → False) → (v1_funct_1 (esk10_5 X1 X2 X3 X4 X5) → False) → v1_funct_1 X5 → v1_funct_2 X5 X4 X2 → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X4 X2)) → r2_hidden X1 (a_4_0_petri_2 X2 X3 X4 X5) → False) → (∀X5 X1 X3 X4 X2, (v1_zfmisc_1 X2 → False) → (v1_funct_1 (esk12_5 X1 X2 X3 X4 X5) → False) → v1_funct_1 X5 → v1_funct_2 X5 X4 X2 → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X4 X2)) → r2_hidden X1 (a_4_3_petri_2 X2 X3 X4 X5) → False) → (∀X5 X3 X1 X4 X2, ((esk11_5 X1 X2 X3 X4 X5) = X1 → False) → (v1_zfmisc_1 X2 → False) → v1_funct_1 X5 → v1_funct_2 X5 X4 X2 → m1_subset_1 X4 (k1_zfmisc_1 X3) → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X4 X2)) → r2_hidden X1 (a_4_2_petri_2 X2 X3 X4 X5) → False) → (∀X5 X1 X3 X4 X2, ((esk12_5 X1 X2 X3 X4 X5) = X1 → False) → (v1_zfmisc_1 X2 → False) → v1_funct_1 X5 → v1_funct_2 X5 X4 X2 → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X4 X2)) → r2_hidden X1 (a_4_3_petri_2 X2 X3 X4 X5) → False) → (∀X5 X1 X3 X4 X2, ((esk10_5 X1 X2 X3 X4 X5) = X1 → False) → (v1_xboole_0 X2 → False) → v1_funct_1 X5 → v1_funct_2 X5 X4 X2 → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X4 X2)) → r2_hidden X1 (a_4_0_petri_2 X2 X3 X4 X5) → False) → (∀X4 X6 X5 X2 X1 X3, (v1_zfmisc_1 X3 → False) → (r2_hidden X4 (a_4_2_petri_2 X3 X2 X5 X6) → False) → X1 = X4 → (k2_partfun1 X2 X3 X1 X5) = X6 → v1_funct_1 X6 → v1_funct_1 X1 → v1_funct_2 X6 X5 X3 → v1_funct_2 X1 X2 X3 → m1_subset_1 X5 (k1_zfmisc_1 X2) → m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 X5 X3)) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X4 X6 X5 X2 X1 X3, (v1_xboole_0 X3 → False) → (r2_hidden X4 (a_4_0_petri_2 X3 X2 X5 X6) → False) → X1 = X4 → (k2_partfun1 X2 X3 X1 X5) = X6 → v1_funct_1 X6 → v1_funct_1 X1 → v1_funct_2 X6 X5 X3 → v1_funct_2 X1 X2 X3 → m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 X5 X3)) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X4 X6 X5 X2 X1 X3, (v1_zfmisc_1 X3 → False) → (r2_hidden X4 (a_4_3_petri_2 X3 X2 X5 X6) → False) → X1 = X4 → (k2_partfun1 X2 X3 X1 X5) = X6 → v1_funct_1 X6 → v1_funct_1 X1 → v1_funct_2 X6 X5 X3 → v1_funct_2 X1 X2 X3 → m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 X5 X3)) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X1 X5 X3 X6 X2 X4, (X2 = X4 → False) → (v1_zfmisc_1 X1 → False) → (a_4_2_petri_2 X1 X3 X2 X5) = (a_4_2_petri_2 X1 X3 X4 X6) → v1_funct_1 X6 → v1_funct_1 X5 → v1_funct_2 X6 X4 X1 → v1_funct_2 X5 X2 X1 → m1_subset_1 X4 (k1_zfmisc_1 X3) → m1_subset_1 X2 (k1_zfmisc_1 X3) → m1_subset_1 X6 (k1_zfmisc_1 (k2_zfmisc_1 X4 X1)) → m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X2 X1)) → False) → (∀X4 X2 X3 X1, (v1_xboole_0 X1 → False) → v1_funct_1 X4 → v1_funct_2 X4 X3 X1 → v1_xboole_0 (k1_petri_2 X1 X2 X3 X4) → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1)) → False) → (∀X4 X3 X2 X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (k1_petri_2 X1 X2 X3 X4) (k1_zfmisc_1 (k9_funct_2 X2 X1)) → False) → v1_funct_1 X4 → v1_funct_2 X4 X3 X1 → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1)) → False) → (∀X2 X3 X4 X1, ((a_4_0_petri_2 X1 X4 X3 X2) = (k1_petri_2 X1 X4 X3 X2) → False) → (v1_xboole_0 X1 → False) → v1_funct_1 X2 → r1_tarski X3 X4 → v1_funct_2 X2 X3 X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1)) → False) → (∀X4 X2 X1 X3, (m1_subset_1 (k2_partfun1 X1 X2 X3 X4) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → v1_funct_1 X3 → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → (∀X4 X2 X1 X3, (v1_funct_1 (k2_partfun1 X1 X2 X3 X4) → False) → v1_funct_1 X3 → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → (∀X4 X3 X2 X1, ((k2_partfun1 X2 X3 X1 X4) = (k5_relat_1 X1 X4) → False) → v1_funct_1 X1 → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X2 X1 X3, (v1_xboole_0 X3 → False) → (v1_xboole_0 X2 → False) → v1_funct_1 X1 → v1_xboole_0 X1 → v1_funct_2 X1 X2 X3 → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X3 X2 X1, (v1_partfun1 X2 X1 → False) → v1_xboole_0 X1 → v1_funct_2 X2 X1 X3 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3)) → False) → (∀X3 X2 X1, (v1_xboole_0 X1 → False) → (v1_partfun1 X2 X3 → False) → v1_funct_2 X2 X3 X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1)) → False) → (∀X3 X2 X1, (v1_finset_1 X1 → False) → v1_funct_1 X1 → v1_finset_1 X2 → v1_funct_2 X1 X2 X3 → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X2 X1, (v1_partfun1 X1 X2 → False) → v1_funct_2 X1 X2 X2 → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X2)) → False) → (∀X3 X1 X2, (v1_funct_2 X1 X2 X3 → False) → v1_partfun1 X1 X2 → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X2 X3 X1, (v1_xboole_0 X1 → False) → v1_xboole_0 X2 → v1_partfun1 X3 X1 → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → (∀X3 X2 X1, (v1_partfun1 X2 X1 → False) → v1_xboole_0 X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3)) → False) → (∀X3 X1 X2, (v5_relat_1 X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X2)) → False) → (∀X3 X1 X2, (v4_relat_1 X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X1 X3 X2, (v1_xboole_0 X2 → False) → v1_xboole_0 X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3)) → False) → (∀X1 X3 X2, (v1_xboole_0 X2 → False) → v1_xboole_0 X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1)) → False) → (∀X3 X2 X1, (v1_relat_1 X1 → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X1 X3 X2, r2_hidden X3 X2 → r2_hidden X1 X2 → r2_hidden X1 (esk46_2 X3 X2) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (m1_subset_1 (esk30_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → False) → (∀X3 X2 X1, v1_xboole_0 X1 → m1_funct_2 X1 X2 X3 → False) → (∀X3 X2 X1, (v4_funct_1 X1 → False) → m1_funct_2 X1 X2 X3 → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → (m1_funct_2 (k9_funct_2 X2 X1) X2 X1 → False) → False) → (∀X1 X3 X2, (v5_relat_1 X3 X2 → False) → v1_relat_1 X1 → v5_relat_1 X1 X2 → m1_subset_1 X3 (k1_zfmisc_1 X1) → False) → (∀X1 X3 X2, (v4_relat_1 X3 X2 → False) → v1_relat_1 X1 → v4_relat_1 X1 X2 → m1_subset_1 X3 (k1_zfmisc_1 X1) → False) → (∀X2 X3 X1, (v5_relat_1 (k5_relat_1 X1 X2) X3 → False) → v1_relat_1 X1 → v5_relat_1 X1 X3 → False) → (∀X2 X3 X1, (v4_relat_1 (k5_relat_1 X1 X2) X2 → False) → v1_relat_1 X1 → v4_relat_1 X1 X3 → False) → (∀X2 X3 X1, (v4_relat_1 (k5_relat_1 X1 X2) X3 → False) → v1_relat_1 X1 → v4_relat_1 X1 X3 → False) → (∀X2 X1 X3, (m1_subset_1 X1 X3 → False) → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X2 X1, (r2_hidden (esk46_2 X1 X2) X2 → False) → r2_hidden X1 X2 → False) → (∀X2 X1, v1_xboole_0 X1 → v1_subset_1 X2 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1 X3, v1_xboole_0 X3 → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X2 X1, ((k5_relat_1 (k5_relat_1 X1 X2) X2) = (k5_relat_1 X1 X2) → False) → v1_relat_1 X1 → False) → (∀X2 X3 X1, (v1_relat_1 (k5_relat_1 X1 X2) → False) → v1_relat_1 X1 → v5_relat_1 X1 X3 → False) → (∀X2 X3 X1, (v1_relat_1 (k5_relat_1 X1 X2) → False) → v1_relat_1 X1 → v4_relat_1 X1 X3 → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → (v1_subset_1 X2 X1 → False) → v1_xboole_0 X2 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → (v1_subset_1 X2 X1 → False) → v1_xboole_0 X2 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → v1_xboole_0 (esk38_2 X1 X2) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → v1_xboole_0 (esk30_2 X1 X2) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → v1_xboole_0 (k2_zfmisc_1 X1 X2) → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (k1_funct_2 X2 X1) → False) → (∀X2 X1, (v1_relat_1 (k5_relat_1 X1 X2) → False) → v1_funct_1 X1 → v1_finset_1 X2 → v1_relat_1 X1 → False) → (∀X2 X1, (v1_finset_1 (k5_relat_1 X1 X2) → False) → v1_funct_1 X1 → v1_finset_1 X2 → v1_relat_1 X1 → False) → (∀X1 X2, (v1_funct_1 X2 → False) → v1_funct_1 X1 → v1_relat_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (v5_relat_1 (esk38_2 X1 X2) X2 → False) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (v5_relat_1 (esk30_2 X1 X2) X2 → False) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (v4_relat_1 (esk38_2 X1 X2) X1 → False) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (v4_relat_1 (esk30_2 X1 X2) X1 → False) → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X2 X1, r2_hidden X2 X1 → r2_hidden X1 X2 → False) → (∀X2 X1, ((k5_relat_1 X1 X2) = X1 → False) → v1_relat_1 X1 → v4_relat_1 X1 X2 → False) → (∀X2 X1, (v3_relat_1 (k5_relat_1 X1 X2) → False) → v1_relat_1 X1 → v3_relat_1 X1 → False) → (∀X2 X1, (v1_relat_1 (k5_relat_1 X1 X2) → False) → v1_relat_1 X1 → v3_relat_1 X1 → False) → (∀X2 X1, (v1_relat_1 (k5_relat_1 X1 X2) → False) → v1_finset_1 X1 → v1_relat_1 X1 → False) → (∀X2 X1, (v1_relat_1 (k5_relat_1 X1 X2) → False) → v1_xboole_0 X1 → v1_relat_1 X1 → False) → (∀X2 X1, (v1_relat_1 (k5_relat_1 X1 X2) → False) → v1_xboole_0 X2 → v1_relat_1 X1 → False) → (∀X2 X1, (v1_relat_1 (k5_relat_1 X1 X2) → False) → v1_funct_1 X1 → v1_relat_1 X1 → False) → (∀X2 X1, (v1_finset_1 (k5_relat_1 X1 X2) → False) → v1_finset_1 X1 → v1_relat_1 X1 → False) → (∀X2 X1, (v1_finset_1 (k2_zfmisc_1 X1 X2) → False) → v1_finset_1 X2 → v1_finset_1 X1 → False) → (∀X2 X1, (v1_xboole_0 (k5_relat_1 X1 X2) → False) → v1_xboole_0 X1 → v1_relat_1 X1 → False) → (∀X2 X1, (v1_xboole_0 (k5_relat_1 X1 X2) → False) → v1_xboole_0 X2 → v1_relat_1 X1 → False) → (∀X2 X1, (v1_funct_1 (k5_relat_1 X1 X2) → False) → v1_funct_1 X1 → v1_relat_1 X1 → False) → (∀X1 X2, (v4_funct_1 X2 → False) → v4_funct_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v5_finset_1 X2 → False) → v5_finset_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v1_relat_1 X2 → False) → v1_relat_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v1_finset_1 X2 → False) → v1_finset_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → v1_xboole_0 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v1_zfmisc_1 X2 → False) → v1_zfmisc_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1, (m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → r1_tarski X1 X2 → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → (v1_xboole_0 (k1_funct_2 X1 X2) → False) → v1_xboole_0 X2 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (r2_hidden X1 X2 → False) → m1_subset_1 X1 X2 → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → v1_xboole_0 X2 → v1_relat_1 X1 → v5_relat_1 X1 X2 → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → v1_xboole_0 X2 → v1_relat_1 X1 → v4_relat_1 X1 X2 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (v1_relat_1 (esk38_2 X1 X2) → False) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (v1_relat_1 (esk30_2 X1 X2) → False) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (v1_finset_1 (esk38_2 X1 X2) → False) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (v1_funct_1 (esk38_2 X1 X2) → False) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (v1_funct_1 (esk30_2 X1 X2) → False) → False) → (∀X2 X1, (v1_relat_1 (k5_relat_1 X1 X2) → False) → v1_relat_1 X1 → False) → (∀X2 X1, (v1_xboole_0 (k2_zfmisc_1 X1 X2) → False) → v1_xboole_0 X1 → False) → (∀X2 X1, (v1_xboole_0 (k2_zfmisc_1 X2 X1) → False) → v1_xboole_0 X1 → False) → (∀X2 X1, (m1_subset_1 X1 X2 → False) → r2_hidden X1 X2 → False) → (∀X2 X1, (v1_relat_1 X1 → False) → v4_funct_1 X2 → m1_subset_1 X1 X2 → False) → (∀X1 X2, (v1_finset_1 X2 → False) → v5_finset_1 X1 → m1_subset_1 X2 X1 → False) → (∀X2 X1, (v1_funct_1 X1 → False) → v4_funct_1 X2 → m1_subset_1 X1 X2 → False) → (∀X2 X1, ((k9_funct_2 X2 X1) = (k1_funct_2 X2 X1) → False) → (v1_xboole_0 X1 → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk37_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk34_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk22_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk19_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_zfmisc_1 X1 → False) → (m1_subset_1 (esk41_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_zfmisc_1 X1 → False) → (m1_subset_1 (esk40_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X2 X1, v1_xboole_0 X1 → r2_hidden X2 X1 → False) → (∀X1 X2, v1_xboole_0 X2 → r2_hidden X1 X2 → False) → (∀X1, (v3_funct_1 X1 → False) → v1_funct_1 X1 → v1_xboole_0 X1 → v1_relat_1 X1 → False) → (∀X1, (v3_funct_1 X1 → False) → v1_zfmisc_1 X1 → v1_funct_1 X1 → v1_relat_1 X1 → False) → (∀X1, (v3_funct_1 X1 → False) → v1_zfmisc_1 X1 → v1_funct_1 X1 → v1_relat_1 X1 → False) → (∀X1, (v2_funct_1 X1 → False) → v1_funct_1 X1 → v1_xboole_0 X1 → v1_relat_1 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_subset_1 (esk34_1 X1) X1 → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (r2_hidden (esk7_1 X1) X1 → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk37_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk22_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk19_1 X1) → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v1_zfmisc_1 (esk41_1 X1) → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v1_zfmisc_1 (esk40_1 X1) → False) → (∀X1, (v2_finset_1 X1 → False) → v1_xboole_0 X1 → v1_relat_1 X1 → False) → (∀X1, (v2_relat_1 X1 → False) → v1_xboole_0 X1 → v1_relat_1 X1 → False) → (∀X1, (v3_relat_1 X1 → False) → v1_xboole_0 X1 → v1_relat_1 X1 → False) → (∀X1, (v5_finset_1 (k1_zfmisc_1 X1) → False) → v1_finset_1 X1 → False) → (∀X1, (v1_finset_1 (k1_zfmisc_1 X1) → False) → v1_finset_1 X1 → False) → (∀X2 X1, (X1 = X2 → False) → v1_xboole_0 X2 → v1_xboole_0 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_finset_1 (esk22_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_zfmisc_1 (esk37_1 X1) → False) → False) → (∀X1, (v1_zfmisc_1 X1 → False) → (v1_finset_1 (esk41_1 X1) → False) → False) → (∀X1, (v4_funct_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v5_finset_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_relat_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → v1_zfmisc_1 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → v1_zfmisc_1 X1 → False) → (∀X1, (v1_funct_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → (∀X1, v1_xboole_0 (k1_funct_2 X1 X1) → False) → (∀X1, v1_subset_1 (esk32_1 X1) X1 → False) → (∀X1, v1_xboole_0 (k1_zfmisc_1 X1) → False) → (v3_funct_1 esk36_0 → False) → (v1_xboole_0 esk44_0 → False) → (v1_xboole_0 esk43_0 → False) → (v1_xboole_0 esk42_0 → False) → (v1_xboole_0 esk33_0 → False) → (v1_xboole_0 esk28_0 → False) → (v1_xboole_0 esk26_0 → False) → (v1_xboole_0 esk21_0 → False) → (v1_xboole_0 esk17_0 → False) → (v1_xboole_0 esk13_0 → False) → (v1_zfmisc_1 esk27_0 → False) → (v1_zfmisc_1 esk1_0 → False) → (((k1_petri_2 esk1_0 esk2_0 esk5_0 esk6_0) = (k1_petri_2 esk1_0 esk2_0 esk3_0 esk4_0) → False) → False) → (∀X2 X1, (m1_subset_1 (esk18_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → False) → (∀X2 X1, (m1_subset_1 (esk16_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → False) → (∀X2 X1, (m1_subset_1 (esk15_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → False) → (∀X2 X1, (m1_funct_2 (esk8_2 X1 X2) X1 X2 → False) → False) → (∀X2 X1, (v1_funct_2 (esk15_2 X1 X2) X1 X2 → False) → False) → ((m1_subset_1 esk6_0 (k1_zfmisc_1 (k2_zfmisc_1 esk5_0 esk1_0)) → False) → False) → ((m1_subset_1 esk4_0 (k1_zfmisc_1 (k2_zfmisc_1 esk3_0 esk1_0)) → False) → False) → ((v1_funct_2 esk6_0 esk5_0 esk1_0 → False) → False) → ((v1_funct_2 esk4_0 esk3_0 esk1_0 → False) → False) → (∀X2 X1, (v5_relat_1 (esk39_2 X1 X2) X2 → False) → False) → (∀X2 X1, (v5_relat_1 (esk35_2 X1 X2) X2 → False) → False) → (∀X2 X1, (v5_relat_1 (esk31_2 X1 X2) X2 → False) → False) → (∀X2 X1, (v5_relat_1 (esk18_2 X1 X2) X2 → False) → False) → (∀X2 X1, (v5_relat_1 (esk16_2 X1 X2) X2 → False) → False) → (∀X2 X1, (v5_relat_1 (esk15_2 X1 X2) X2 → False) → False) → (∀X1 X2, (v4_relat_1 (esk39_2 X1 X2) X1 → False) → False) → (∀X1 X2, (v4_relat_1 (esk35_2 X1 X2) X1 → False) → False) → (∀X1 X2, (v4_relat_1 (esk31_2 X1 X2) X1 → False) → False) → (∀X1 X2, (v4_relat_1 (esk18_2 X1 X2) X1 → False) → False) → (∀X1 X2, (v4_relat_1 (esk16_2 X1 X2) X1 → False) → False) → (∀X1 X2, (v4_relat_1 (esk15_2 X1 X2) X1 → False) → False) → (∀X1 X2, (v4_funct_1 (k1_funct_2 X1 X2) → False) → False) → (∀X1 X2, (v1_relat_1 (esk39_2 X1 X2) → False) → False) → (∀X1 X2, (v1_relat_1 (esk35_2 X1 X2) → False) → False) → (∀X1 X2, (v1_relat_1 (esk31_2 X1 X2) → False) → False) → (∀X1 X2, (v1_relat_1 (esk18_2 X1 X2) → False) → False) → (∀X1 X2, (v1_relat_1 (esk16_2 X1 X2) → False) → False) → (∀X1 X2, (v1_relat_1 (esk15_2 X1 X2) → False) → False) → (∀X1 X2, (v1_relat_1 (k2_zfmisc_1 X1 X2) → False) → False) → (∀X1 X2, (v1_finset_1 (esk35_2 X1 X2) → False) → False) → (∀X1 X2, (v1_xboole_0 (esk18_2 X1 X2) → False) → False) → (∀X1 X2, (v1_funct_1 (esk39_2 X1 X2) → False) → False) → (∀X1 X2, (v1_funct_1 (esk35_2 X1 X2) → False) → False) → (∀X1 X2, (v1_funct_1 (esk16_2 X1 X2) → False) → False) → (∀X1 X2, (v1_funct_1 (esk15_2 X1 X2) → False) → False) → (∀X1, (m1_subset_1 (esk32_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (m1_subset_1 (esk25_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v4_relat_1 (esk45_1 X1) X1 → False) → False) → (∀X1, (m1_subset_1 (esk9_1 X1) X1 → False) → False) → (∀X1, (r1_tarski X1 X1 → False) → False) → ((r1_tarski esk5_0 esk2_0 → False) → False) → ((r1_tarski esk3_0 esk2_0 → False) → False) → (∀X1, (v2_relat_1 (esk45_1 X1) → False) → False) → (∀X1, (v1_relat_1 (esk45_1 X1) → False) → False) → (∀X1, (v1_xboole_0 (esk25_1 X1) → False) → False) → (∀X1, (v1_funct_1 (esk45_1 X1) → False) → False) → ((v2_finset_1 esk44_0 → False) → False) → ((v4_funct_1 esk42_0 → False) → False) → ((v5_finset_1 esk43_0 → False) → False) → ((v2_relat_1 esk33_0 → False) → False) → ((v2_relat_1 esk29_0 → False) → False) → ((v2_relat_1 esk24_0 → False) → False) → ((v2_funct_1 esk23_0 → False) → False) → ((v1_relat_1 esk44_0 → False) → False) → ((v1_relat_1 esk36_0 → False) → False) → ((v1_relat_1 esk33_0 → False) → False) → ((v1_relat_1 esk29_0 → False) → False) → ((v1_relat_1 esk28_0 → False) → False) → ((v1_relat_1 esk24_0 → False) → False) → ((v1_relat_1 esk23_0 → False) → False) → ((v1_relat_1 esk17_0 → False) → False) → ((v1_relat_1 esk14_0 → False) → False) → ((v1_finset_1 esk43_0 → False) → False) → ((v1_finset_1 esk28_0 → False) → False) → ((v1_finset_1 esk13_0 → False) → False) → ((v1_xboole_0 esk20_0 → False) → False) → ((v1_xboole_0 k1_xboole_0 → False) → False) → ((v1_funct_1 esk44_0 → False) → False) → ((v1_funct_1 esk36_0 → False) → False) → ((v1_funct_1 esk33_0 → False) → False) → ((v1_funct_1 esk29_0 → False) → False) → ((v1_funct_1 esk28_0 → False) → False) → ((v1_funct_1 esk23_0 → False) → False) → ((v1_funct_1 esk14_0 → False) → False) → ((v1_funct_1 esk6_0 → False) → False) → ((v1_funct_1 esk4_0 → False) → False) → ((v1_zfmisc_1 esk21_0 → False) → False) → False
In Proofgold the corresponding term root is c50cf8... and proposition id is 97f72f...
Proof:
The rest of the proof is missing.